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The equation of the hyperola whose verti...

The equation of the hyperola whose vertices are (2,5), (2,-1) and eccentricity 4/3 is

A

`((x-2)^(2))/(7)-((y-2)^(2))/(9)=-1`

B

`((x-2)^(2))/(5)-((y-2)^(2))/(9)=-1`

C

`((x+2)^(2))/(7)-((y+2)^(2))/(9)=1`

D

`((x-2)^(2))/(17)+((y-2)^(2))/(19)=1`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-HYPERBOLA-Practice Exercise
  1. The equation of the hyperola with its transverse axis is parallel el t...

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  2. The equation of the hyperola whose centre is (5,2) vertex is (9,2) and...

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  3. The equation of the hyperola whose vertices are (2,5), (2,-1) and ecce...

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  4. The equation to hyperola whose centre is (0,0) distance between the fo...

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  5. Equation of the hyperbola with latus rectum (22)/(5) and eccentricity ...

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  6. The equation of the hyperola of given transverse axis 2a with its vert...

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  7. If e is the eccentricity, l is the semi latus-rectum and S. S^(1) are ...

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  8. Match the numerical difference of the focal distance of any point on t...

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  9. Assertion (A): The locus of the point ((e^(2t)+e^(-2t))/(2), (e^(2t)-e...

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  10. If x^(2)/(12-k) -(y^(2))/(k-8)=1 represents a hyperbola then

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  11. The vertices of the hyperbola ((x-2)^(2))/( 9) -((y-3)^(2))/( 4) =1 a...

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  12. The equation of the latusrecta of the hyperola ((x-4)^(2))/(16)-((y-3)...

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  13. The length of the conjugate axis of the hyperbola 9x^(2) -16y^(2) - 1...

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  14. The length of the latus rectum of the hyperbola 25x^(2)-16y^(2)=400 is

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  15. The foci of the hyperbola 9x^(2) -16y ^(2)+18x +32 y- 151=0 are

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  16. The length of the latus rectum of the hyperbola 9x^(2) -16y^(2) +72x ...

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  17. The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y ...

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  18. The equations of the latus recta of the hyperbola 9x^(2) -16y^(2) -18...

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  19. If sec theta is the eccentricity of a hyper bola then the eccentricity...

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  20. The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

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